the height of a kicked soccer ball is represented by the function f(x)=8x-2x^2 where x is the number of seconds since the ball was iicked and f(x) is the height of the ball. when will the soccer ball hit the ground?​

Answers

Answer 1

Answer:

Result at time x = 4 seconds the soccer ball hit the ground.

Step-by-step explanation:

At the moment just before the ball is kicked, it is on the ground and so the height f(x) is zero meters. After the kick, the ball goes through the air and it's path can be described by a (mountain) parabola.

So lets see after how many second (x) the height = 0 once again.

f(x) = 8x-2x^2

f(x) = 0

8x - 2x^2 = 0

Try to write the formula in two terms

-2x * (x - 4) = 0

When a product of two or more terms equals zero, then at least one of the terms must be zero.

Now solve each term = 0 separately, meaning, solve as many equations as there are terms in the product.

Any solution of term = 0 solves product = 0.

Solve the first term:

-2x = 0

Multiply left an right from the = singn with the factor -1 gives this outcome:

2x = 0

x = 0

Solve the second term:

x-4 = 0

x = 4

Result at time x = 4 seconds the soccer ball hit the ground.

x = 4

x = 0


Related Questions

Which expression shows a way to find 20% of 950? Please I need help thanks.

Answers

Answer:

the answer of the expression is 190

Step-by-step explanation:

Given expression as :

20 % of 950

Or, [tex]\frac{20}{100}[/tex] times 950

Or, [tex]\frac{20}{100}[/tex] × 950

Or, 20 × [tex]\frac{950}{100}[/tex]

or, 20 × 9.5

∴ 190

Answer:

1/5 times 950

Step-by-step explanation:

I did this on iready and got it correct

Please Help!!!!!
I need the answer!!!!​

Answers

Answer:

It's the first one

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

x=y

they are the same numbers

i need your help please asap

Answers

Step-by-step explanation:

First we will calculate the total amount spent on each website so

Website A = 49.95 + 4.39 = 54.34

Website B = 47.68 + 6.95 = 54. 63

So website A is cheaper by €0.29

Website A is cheaper by .29

A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 4 had a mispriced item. If 1,600 people go to this store each day, how many people would you expect to have a mispriced item?

Answers

Answer:

128

Step-by-step explanation:

There are 32 50's in 1600.

So 32x4=128

the area of the base of a triangular prism is 4.5 and the lenght of the prism is 5. what is the volume of the prism

Answers

Hi! I need to know the height of the prism to solve the volume. Please describe that and I will surely be able to help you. Have a nice day!

need help with this question it’s a mastery grade!

Answers

I think the answer is that there was an increase plz mark as brainliest
Yes there would be an increase because 25%of 25 is 6 and 10%of 20 is 2. So there is an increase by 4 kids.

What does the equation, 2 + 2 = fish, really mean?

Answers

Answer:

This is subjective to the viewer of such an equation.

Step-by-step explanation:

Please give brainliest lol

What is the surface area of the cylinder with height 5 m and radius 8 m?
Round your answer to the nearest thousandth.

Answers

Answer: 653.45m²

I  got it right thats why

WILL MARK BRAINLIEST! A bag has 4 blue marbles, 6 green marble and 3 red marbles in it. What is the ratio proportion of pulling a red or green marble from the bag ? *

Answers

Answer:

9:13

Step-by-step explanation:

Complete the equation to represent finding x, the greater integer.

x(x – ) = 143

Answers

Answer:

x would equal -11 or 13

Step-by-step Explanation:

x(x - 2) - 143 = 0

x^2 - 2x - 143 = 0

-2x + x^2 = 143

-143 + (-2x) + x^2 = 0

(x - 13)(x + 11)

x - 13 = 0

Add 13 to both sides

x = 13

x + 11 = 0

Subtract 11 from both sides

x = -11

Which number is divisible by 3?
A 137
B 136
C 138
D 41

Answers

Answer:

C (148)

Step-by-step explanation:

All numbers divisible by 3:

The numbers equal to something divisible by 3

ex:

138=

1+3+8= 12 which is divisible by 3, so 138 is divisible by 3

Answer:

138

Step-by-step explanation:

We know that if the sum of the numbers that make up 138 is divisible by 3, then 138 is divisible by 3. Note: If you divide 138 by 3, you get 46 which is a whole number.

64. In a pond of 1,600 fish, 25% of the fish are trout. The remaining fish are bass. How fewer trout are there than bass?

Answers

Answer:

There are 400 trout and 1,200 of them are bass.

1200 right? Since 25% of the fish is 400 and the remaining is 1200 then it should be 1200.
Don’t take my word for it though.

17. Which of the following forces is not a
long-range force?
A) gravitational force
B) friction
() electric force
D) magnetic force

Answers

Answer: D. Magnetic Force

Step-by-step explanation:

The range isn't compatible from a long distance. Only when close to contact.

Answer:

the answer is magnetic force

hope this helps u

PLS HELP NEED TO PASS TEST :)))))
Find the surface area of the regular pyramid shown to the nearest whole number. The figure is not drawn to scale.

351 m^2
415 m^2
542 m^2
790 m^2

Answers

The answer is B

Hope this help

Enter the equation of the circle with the given center and radius.
Center: (0,3); radius: 3
The equation of the circle is

Answers

Answer:

x² + (y - 3)² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (0, 3) and r = 3, thus

(x - 0)² + (y - 3)² = 3², that is

x² + (y - 3)² = 9 ← equation of circle

Determine whether 90.5m .92m is equivalent to each of the following expressions.
Equivalent
Not equivalent
ვნm
81m
92.5m

Answers

Answer:i think it is 92.5

Find the difference. Write your answer in standard form.
(5x3−3x+6)−(2x2−4x+8)

The difference is _______

Answers

Answer: 5x^3 + x-6

Step-by-step explanation:

which value makes the equation
3x - 6 = 36 true?
a) 10
b)12
c)14
d)16​

Answers

Answer:

C) 14

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 6 to both sides:

3x - 6 (+6) = 36 (+6)

3x = 36 + 6

3x = 42

Next, divide 3 from both sides:

(3x)/3 = (42)/3

x = 42/3

x = 14

c) 14 is your answer.

~

The label that wraps around a a can is 4 inches long. How wide is the can?​

Answers

1.273 is the answer

bc the label is circumference and the width would be diameter

so circumference divided by pi is diameter

so 4 ÷ 3.14 = 1.273

sandra cut her sandwich into 3 equal parts. she ate 1 part for lunch. what fraction of the sandwich did sandra eat for lunch?

Answers

Sandra ate One-Third (1/3) of her sandwich for lunch.

Please mark me Brainliest!! You don’t have to though!!

What is the slope of a line that is parallel to the line shown?

Question and options in images below.

Answers

Answer: m= 2/3

Step-by-step explanation:

4/6 simplify into 2/3

?????HELPPPP PLEASE

Answers

Answer: choices 1 and 4

Step-by-step explanation:

A central angle is the angle that forms when two radii meet at the center of a circle. So the answers are the ones with point D in the middle.

Solve for y: 4.0
2y + 16 = 0

Answers

Answer:

y=-8

Step-by-step explanation:

2y+16=0

2y=-16

y=-8

15 points for this!! ( btw d is 90 it got cut off)

Answers

Hey there!

X = 90

In a quadrilateral there is 360 degrees. You add up all the given points and subtract then from 360 and you get 90.

So the answer is D.

Hope this helps !

Answer:

The value of x is D) 90°

Step-by-step explanation:

The sum of interior angles in a quadrilateral is 360°

As the total interior angles in a quadrilateral is 360 to work this out you would first need to work out the total of the angles given You can do this by adding 101 and 75 and 94, this gives you 270. This is because it tells us how much of that 360 degree total has been used.

The next step is to work out the angle of x. You can do this by subtracting the total angles gives of 270 from the total of 360, this gives you 90 degrees. This is because by subtracting it we are isolating the value of x.

1) Add the values of 94, 101, 75.

[tex]101+94+75=270[/tex]

2) Minus 270 from 360.

[tex]360-270=90degrees[/tex]

what is the negative square root of 3/2

-3/2
there is no negative square root of 3/2
there is no square root of -n
if n is negative, there is no square root

Answers

Answer:

There is no square root of n , if n is negative

Answer:

(D) square root 3/ 3

Step-by-step explanation:

took the assignment test

Kira is using the figure shown to prove the Pythagorean theorem. She starts by writing the
equation (a + b)2 – 2 = 4( ab) because she knows two equal ways to represent the area
of the shaded region. Which best describes the next steps Kira should take to complete her
proof?

Answers

Answer:

B. Simplify both sides of the equation to get [tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]; then subtract 2ab and add [tex]c^2[/tex] to both sides of the equation

Step-by-step explanation:

Given

[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]

Required

Describe the next steps to

First, we open all brackets

[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]

[tex](a + b)(a + b) - c^2 = 4(\frac{1}{2}ab)[/tex]

[tex]a^2 + 2ab + b^2 - c^2 = 4 * (\frac{1}{2}ab)[/tex]

[tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]

At this point, options A and C are incorrect because they didn't present the right result of the expression.

So, we have options B and D to consider

The next step is to subtract 2ab from both sides

[tex]a^2 + 2ab + b^2 - c^2 - 2ab = 2ab - 2ab[/tex]

Collect like terms

[tex]a^2 + b^2 - c^2 +2ab - 2ab = 2ab - 2ab[/tex]

[tex]a^2 + b^2 - c^2 = 0[/tex]

Lastly, to prove the Pythagoras theorem, the equation has to be in form of[tex]a^2 + b^2 = c^2[/tex]; meaning the [tex]c^2[/tex] is added to both sides; See below

[tex]a^2 + b^2 - c^2 = 0[/tex]

Add [tex]c^2[/tex] to both sides

[tex]a^2 + b^2 - c^2 + c^2= 0 + c^2[/tex]

[tex]a^2 + b^2 = c^2[/tex]

At this point, only option B completes Kira's proof

Answer:

It’s B

Step-by-step explanation:

I did the test

Arial says that, for any pair of linear relations, if the coefficients of the y-terms are equal and the coefficients of the x-terms are equal, the graphs of the two lines will be parallel.
a. Give an example for which Arial's claim is true.

b. Give an example for which Arial's claim is false.

c. Suggest an improvement to Arial's claim.

Answers

Answer:

a. Give an example for which Arial's claim is true.

If linear relations have equal coefficient about the independent variable, then those linear relations are parallel. For example, [tex]y=3x+4[/tex] and [tex]y=3x-5[/tex].

Notice that the coefficient of the dependent variable must be also equal, otherwise it would change the slope of the expression and they wouldn't be parallel.

b. Give an example for which Arial's claim is false.

The statement is not false.

c. Suggest an improvement to Arial's claim.

An improvemente would be that the constant term no need to be equal too, between linear relations, because they can be at "differecent heights", sort of speak.

Find the distance between (6, −2) and (1, −2).

Question 14 options:

5 units

6 units

7 units

4 units

Answers

Answer:

5 units

Step-by-step explanation:

the formula is delta y over delta x.

The distance between -2 and -2 is 0

The distance between 6 and 1 is 5

So, it's 5 units.

Hope this helps :)

Probability
Consider the following set of numbers:
{1,2,3,4,5,6,7,8,9,10)
What is the probability of drawing an odd number or a
multiple of 3?
9/10
1/2
7/100
3/5?​

Answers

Answer:

1/2

Step-by-step explanation:

Solve for x
HELPP PLEASEE
20 points!

Answers

Answer:

[tex]\sqrt{119}[/tex]

Step-by-step explanation:

Basically you need to have the third value of the other triangle to be able to solve for the other triangle. Use pythagorean theorem to find the missing values.

a^2+5^2=10^2

a^2+25=100

a^2=75

square root of 75

a=5[tex]\sqrt{3}[/tex]

5[tex]\sqrt{3}[/tex]^2+x^2=12^2

[tex]\sqrt{119}[/tex]

Answer:

8 1/3, or 8.307

Step-by-step explanation:

First we need to get the measurement of the division line, or the middle line. We can use the Pythagorean Theorem! How exciting!

[tex]10^{2} - 5^{2} = 75[/tex]

Now, you have two options:

A) If you are good at math and can understand shortcuts, there is no need to take the square root of this, as you will instantly have to square it as we use it in the second half.

B) If you need to have something written down for your though process, go ahead and square root 75.

I am going to use option A, but if you need me to explain why we do not have to take the square root, follow along, and if you still do not get it, do not be afraid to ask!

For the second half of the problem, to find x, we must again use the Pythagorean Theorem!

[tex]12^{2} = x^{2} + 75[/tex]

144 - 75 = 69

[tex]\sqrt{69} = 8.30662386292[/tex]

And now we are done, with a final answer of 8.307, or [tex]8\frac{1}{3}[/tex]!

Hope this helps! Math is fun!

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